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Finding the Third Proportional to 37,393 and 82,376

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Solution

The third proportional to 37,393 and 82,376 is: 181,472.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,393 : 82,376 = 82,376 : x
  2. Step 2: Convert to fraction form
    37,393/82,376 = 82,376/x
  3. Step 3: Cross multiply
    37,393x = 82,376 × 82,376
  4. Step 4: Simplify right side
    37,393x = 6,785,805,376
  5. Step 5: Solve for x
    x = 6,785,805,376/37,393
  6. Step 6: Final answer
    x = 181,472.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.